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163164 = 22313597
BaseRepresentation
bin100111110101011100
322021211010
4213311130
520210124
63255220
71246461
oct476534
9267733
10163164
11101651
127a510
1359361
1443668
1533529
hex27d5c

163164 has 12 divisors (see below), whose sum is σ = 380744. Its totient is φ = 54384.

The previous prime is 163151. The next prime is 163169. The reversal of 163164 is 461361.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 163164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6787 + ... + 6810.

2163164 is an apocalyptic number.

It is an amenable number.

163164 is an abundant number, since it is smaller than the sum of its proper divisors (217580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163164 is a wasteful number, since it uses less digits than its factorization.

163164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 13602 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 163164 is about 403.9356384376. The cubic root of 163164 is about 54.6438697993.

The spelling of 163164 in words is "one hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13597 27194 40791 54388 81582 163164